Answers
9514 1404 393
Answer:
10°, 80°
Step-by-step explanation:
Setup
Let x and y represent the measures of the two acute angles in the right triangle.
From your knowledge of right triangles, you know the two acute angles are complementary:
x + y = 90
The problem statement gives you another relation:
x = 2(y + 30) . . . . twice the sum ...
__
Solution
The second equation gives you an expression for x that can be substituted into the first equation.
(2(y +30)) + y = 90
3y +60 = 90 . . . . . . . . collect terms
3y = 30 . . . . . . . . . subtract 60
y = 10 . . . . . . . . divide by 3
x = 2(y +30) = 2(40) = 80
The two angles are 10° and 80°.
Related Questions
what is the slope of a line that goes through these 2 points? (-2, 1) (2, -3)
Answers
explanation:
y2-y1/x2-x1
-3-1/2-(-2)= -4/4= -1
Answer:
-1
Step-by-step explanation:
could you pls find the surface area
Answers
Step-by-step explanation:
to find the area of the prism the given formula is,
perimeter× height
Annie wants to create a right triangle with side lengths 12 centimeters, 35 centimeters, and
37 centimeters.
Is this possible? Why or why not?
Yes, because 12 + 35 is not equal to 37.
Yes, because 12? + 352 is equal to 372
No, because 12 + 35 is greater than 37.
No, because 12? + 352 is less than 372.
Answers
Answer: yes because 12^2+35^2=37^2
Step-by-step explanation:
PLEASE HELP ASAP, MARKING BRAINLIEST!!!
What is the value of x and y?
Answers
Answer:
x = 9 ; y = 18
Step-by-step explanation:
This is a 30° 60° 90° triangle meaning the length of the big leg will be the value of the small leg times √3 and the hypotenuse will be double the length of the small leg.
Answer:
x = 9
y = 18
Step-by-step explanation:
tan(60) = 9 radical 3 / x
x = 9 radical 3 / tan(60)
x = 9
a² + b² = c²
9² + 9radical3² = c²
324 = c²
c = 18
y = 18
23 PTS
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:
(image attached)
Which statement best describes the relationship between the positions of the two players?
A) Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
B) Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
C) Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
D) Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Answers
Answer:
B
Step-by-step explanation:
21. Loans Based on past experience, a bank believes that 7% of
the people who receive loans will not make payments on time.
A bank auditor randomly selects 200 loans.
a) What are the mean and standard deviation of the proportion
of clients in this group who may not make timely payments?
Answers
Answer:
Step-by-step explanation:
Mean 0.7 and standard deviation 0.018
p = 0.07
n = 200
q = 1 - 0.07 which = 0.93
u = 0.07
o = (p * q) / n = [tex]\sqrt{(0.07)(0.93)/200}[/tex] = 0.018
4÷5/9 will give brainliest to right answer
Answers
Answer:
.0888 repeating
Step-by-step explanation:
4 ÷ 5 ÷ 9 work left to right
Answer:
0.088
Step-by-step explanation:
4÷5/9 = ?
First let's see how much 4÷5 is, you will get the answer as 0.8 or 8/10.
Now, we need to calculate how much 0.8/9 = ? The answer is 0.088.
2+[tex]2+\frac{3}{4}x=\frac{5}{12}[/tex]
Answers
Answer:
x = -19/4
Step-by-step explanation:
Given the equation 2+3/4x = 5/12. We are to find the value of x
2+3/4x = 5/12.
3/4 x = 5/12 - 2
3/4 x = (5-24)/12
3/4 x = -19/12
Cross multiply
3x * 12 = -19 * 4
36x = -76
x = -76/36
x = -19/4
6 3/5 - 2 4/11=?
Show your work :)
Answers
Answer:
4.23636363636 is the ans☺️:)Step-by-step explanation:
Thanku♥️5
to a improper fraction: 6 3/5 = 6 3/
5
= 6 · 5 + 3/
5
= 30 + 3/
5
= 33/
5
To find new numerator:
a) Multiply the whole number 6 by the denominator 5. Whole number 6 equally 6 * 5/
5
= 30/
5
b) Add the answer from previous step 30 to the numerator 3. New numerator is 30 + 3 = 33
c) Write a previous answer (new numerator 33) over the denominator 5.
Six and three fifths is thirty-three fifths
Conversion a mixed number 2 4/
11
to a improper fraction: 2 4/11 = 2 4/
11
= 2 · 11 + 4/
11
= 22 + 4/
11
= 26/
11
To find new numerator:
a) Multiply the whole number 2 by the denominator 11. Whole number 2 equally 2 * 11/
11
= 22/
11
b) Add the answer from previous step 22 to the numerator 4. New numerator is 22 + 4 = 26
c) Write a previous answer (new numerator 26) over the denominator 11.
Two and four elevenths is twenty-six elevenths
Subtract: 33/
5
- 26/
11
= 33 · 11/
5 · 11
- 26 · 5/
11 · 5
= 363/
55
- 130/
55
= 363 - 130/
55
= 233/
55
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(5, 11) = 55. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 11 = 55. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - thirty-three fifths minus twenty-six elevenths = two hundred thirty-three fifty-fifths.
Result
6 3/5 - 2 4/11 = 233/
55
= 4 13/
55
≅ 4.2363636
OMG LAST QUESTION IDNSKSNKSKNDLKNKNDK
Answers
Answer:
1. 38 gallons per gas, 2. $3.74 per gallon
Step-by-step explanation:
Let u = <9,4>, v = <-2,5> Find u + v.
Answers
Answer:
u +v = < 7,9 >
Step-by-step explanation:
You are given u = <9,4> and v = <-2,5>. You are asked to find u+v. all you need to do is to add them with their respective position. u+v = <9-2, 4+5>, u+v = <7,9>. This is the correct answer.
Construct a 95% confidence interval for the true difference in proportions of male and female smokers. Use p1^ for the proportion of men who smoke. Round your answers to three decimal places.
Answers
Answer:
ok?
Step-by-step explanation:
5
6 7
Choose the A that seems to be congruent to the given one.
D
0
A
AACBA
B
BDA
AOB
ACD
Answers
Answer:
im pretty sure its ACD
Step-by-step explanation:
Answer:
This is BDA, its congruent to ACB, as its on the opposite side.
In ΔFGH, the measure of ∠H=90°, HG = 56, FH = 33, and GF = 65. What ratio represents the cosine of ∠G? ASAP PLS
Answers
The value of ratio which represents the cosine of ∠G is,
⇒ cos G = 56/65
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
In ΔFGH,
The measure of ∠H=90°, HG = 56, FH = 33, and GF = 65.
Now, By the formula;
⇒ cos θ = Base / Hypotenuse
Hence, We get;
⇒ cos G = GH / GF
⇒ cos G = 56/65
Thus, The value of ratio which represents the cosine of ∠G is,
⇒ cos G = 56/65
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ1
If 40% of the students in the class are boys, and if there are 15 girls in the class, then how many students are in the class? * 1 point
Answers
Answer:
25
Step-by-step explanation:
15/6.0=2.5
2.5x4=10
2.5x6=15
10+15=25
10 boys and 15 girls
Answer:
25
Step-by-step explanation:
Let's set up "x" as the total number of students. So now we can set up an equation:
40%x+15=x rewritten as:
.4x+15=x Subtract .4x from both sides will give us:
15=.6x Now divide each side by .6 to be:
25=x Therefore we know there are 25 students in the class.
Make sense?
If d - 12.6, r=
PLZ HELP I HAAVE TO SUBMIT IN 3 MIN
Answers
Answer:
is there a picture to go along with it?
(7.4A) A delivery truck drove an average of 42
miles per hour. It took 2 hours and 15 minutes
to travel between two towns. What is the
distance between the two towns?
Answers
Answer:
Step-by-step explanation:
equals=rt, where d is distance, r is rate, and t is time Dist = rate*time D = 42 mph *4 hrs = 168 miles Cheers, Stan H.
Lane has scores of 75, 80, 65, and 95 on her calculus exams. She has set the goal of making at least an 80 of her report card in this class.
What is the least she can make on the last exam in order to meet her goal?
Answers
Part B How many more questions would Kevin have to answer correctly to get more than 80% correct? Enter the number in the box.
Answers
Answer: See explanation
Step-by-step explanation:
Here's the complete question:
Kevin correctly answered 75% of his 32 test questions. how many questions would kevin have to answer to get more that 80% correct?
The number of questions he answered correctly will be:
= 75% × 32
= 75/100 × 32
= 3/4 × 32
= 24
He got 24 questions correctly.
To get more than 80% correctly, he will have to answer:
= 80% × 32
= 80/100 × 32
= 4/5 × 32
= 128/5
= 25.6 = 26
He will have to answer at least 26.
It takes Evan 6 3/4 hours to mow 3 lawns .It takes him 2 1/3 hours to mow
Answers
Answer:
It takes him hours to mow the third lawn
Explanation:
We are given that Evan takes hours to mow Mr. Gals lawn and hours to mow Mrs. Lee's lawn
This means that:
Time taken to mow the two lawns = hours
Now, we are given that the time taken to mow the three lawns is hours
This means that:
Time taken to mow the third lawn = hours
Hope this helps :)
Question 3 of 10
The triangles shown below must be congruent.
600
60
12
12
2010
61°
O A. True
B. False
Answers
graph 9x+15y=45
help ?
Answers
The Patel family looks at map to plan their family vacation. They plan to travel from Smithville to Jonesville, which are 3 3/4 inches apart on the map. Then they plan to travel from Jonesville to Clarksville, which are 5 1/4 inches apart on the map. The scale on the map is 1/2 inch equals 4 miles. What is the actual distance the Patel family will travel by the time they reach Clarksville? Enter your answer in the box
Answers
Answer: 72 miles
Step-by-step explanation:
The total distance from Smithville to Clarksville will be:
= 3 3/4 + 5 1/4
= 9 inches
Since the scale on the map is:
1/2 inch = 4 miles
1 inch = 4 × 2 = 8 miles
Therefore, 9 inches will be:
= 9 × 8 = 72 miles
The actual distance that the Patel family will travel by the time they reach Clarksville will be 72 miles.
What is the volume of a cube with an edge length
of 2/3 foot?
Answers
Answer:
V= 512 inches or, 42.67 feet
Step-by-step explanation:
So a cube has the same length on all sides so you would multiply length times with times area or V = a^3
So, 2/3 foot is equal to 8 inches so you would do V = 8^3 which would get you the answer,
Para embaldosar un salon de 48 metros cubicos de area se han necesitado 375 tablas rectangulares en las cuales un lado medira 8 cm menos que el otro . Encuentra las dimensiones de las tablas.
Answers
Follow the steps below to create an expression:
Start with the variable x
. Multiply by 4
. Add 3
. Multiply by 2
Subtract 7
Please help me out
Answers
Answer:
4x+3(2)-7
Step-by-step explanation:
10. What is the ratio of the trigonometric ratio? Simplify as needed. *
Answers
12/35
tan = opp/adj
tan = 12/35
I'm not the smartest but um does anybody know what my teacher means by this? Do I do all the evens or:
"You dont need to do ALL the evens...do EVERY OTHER EVEN, that way there are only 15 problems"
Answers
Answer:
This is the even numbers out of 100. So Do every other one so in you case 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30.And all them problem you do add up to 15 total of what you completed( why they said there will only be 15 problems AKA the ones you solve)
Step-by-step explanation:
Hope this helps :)
Eugene can beat two levels every hour how many levels can he completed 3.5 hours
Answers
Answer:
~6.5 Levels
Step-by-step explanation:
2 levels every hour = 2:1
we take that ratio and multiply it by 3 for starters:
6 and half of our ratio
basically 6.5
Which statement is true?
0
A. 8x and 8y are like terms.
B. 8 and x are like terms.
C. 8x and x are like terms.
O
D. 8x and 8 are like terms
Answers
It’s C because like terms have the same variable.